An 𝐿^{𝑝} regularity theory for harmonic maps
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Publication:5496573
DOI10.1090/S0002-9947-2014-06282-XzbMath1314.58015MaRDI QIDQ5496573
Publication date: 2 February 2015
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
partial regularitygauge transformationsRiemannian manifoldsMorrey spacesRiesz potentialshomogeneous Sobolev spacesmonotonicity inequalitiesGehring type lemmas.map heat flowperturbed harmonic map equationthe Calderon-Zygmund inequalitythe Helmholtz- Hodge decomposition
Smoothness and regularity of solutions to PDEs (35B65) Harmonic maps, etc. (58E20) Heat and other parabolic equation methods for PDEs on manifolds (58J35)
Related Items (11)
Regularity at the free boundary for Dirac-harmonic maps from surfaces ⋮ Regularity at the free boundary for approximate H-surfaces in Riemannian manifolds ⋮ Partial regularity for a nonlinear sigma model with gravitino in higher dimensions ⋮ \(L^p\) regularity theory for even order elliptic systems with antisymmetric first order potentials ⋮ Rigidity and flatness of the image of certain classes of mappings having tangential Laplacian ⋮ The qualitative behavior at the free boundary for approximate harmonic maps from surfaces ⋮ The Lamm-Rivière system. I: \(L^p\) regularity theory ⋮ Boundary equations and regularity theory for geometric variational systems with Neumann data ⋮ Multivariable Schur–Horn theorems ⋮ Continuity of almost harmonic maps with the perturbation term in a critical space ⋮ \(L^p\)-regularity for fourth order elliptic systems with antisymmetric potentials in higher dimensions
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